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Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We propose an improvement of the famous IC3 algorithm for model checking safety properties of finite state systems. We collect models computed by the SAT-solver during the clause propagation phase of the algorithm and use them as witnesses…

Logic in Computer Science · Computer Science 2013-07-19 Martin Suda

This abstract aims at presenting an ongoing effort to apply a novel typing mechanism stemming from Implicit Computational Complexity (ICC), that tracks dependencies between variables in three different ways, at different stages of…

Computational Complexity · Computer Science 2022-05-26 Clément Aubert , Thomas Rubiano , Neea Rusch , Thomas Seiller

Systems of fixpoint equations over complete lattices, consisting of (mixed) least and greatest fixpoint equations, allow one to express a number of verification tasks such as model-checking of various kinds of specification logics or the…

Logic in Computer Science · Computer Science 2021-06-21 Paolo Baldan , Barbara König , Tommaso Padoan

Incomplete Multi-view Clustering (IMC) has emerged as a significant challenge in multi-view learning. A predominant line for IMC is data imputation; however, indiscriminate imputation can result in unreliable content. Recently, researchers…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Cai Xu , Jinlong Liu , Yilin Zhang , Ziyu Guan , Wei Zhao , Xiaofei He

This paper is concerned with a compositional approach for constructing infinite abstractions of interconnected discrete-time stochastic control systems. The proposed approach uses the interconnection matrix and joint dissipativity-type…

Systems and Control · Computer Science 2019-05-14 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

In predicate abstraction, exact image computation is problematic, requiring in the worst case an exponential number of calls to a decision procedure. For this reason, software model checkers typically use a weak approximation of the image.…

Logic in Computer Science · Computer Science 2015-07-01 Ranjit Jhala , Kenneth L. McMillan

We present an extension-based approach for computing and verifying preferences in an abstract argumentation system. Although numerous argumentation semantics have been developed previously for identifying acceptable sets of arguments from…

Artificial Intelligence · Computer Science 2024-03-27 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

Abstraction is an important and useful concept in the field of artificial intelligence. To the best of our knowledge, there is no syntactic method to compute a sound and complete abstraction from a given low-level basic action theory and a…

Logic in Computer Science · Computer Science 2025-01-14 Liangda Fang , Xiaoman Wang , Zhang Chen , Kailun Luo , Zhenhe Cui , Quanlong Guan

This work targets the development of an efficient abstraction method for formal analysis and control synthesis of discrete-time stochastic hybrid systems (SHS) with linear dynamics. The focus is on temporal logic specifications, both over…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Nathalie Cauchi , Luca Laurenti , Morteza Lahijanian , Alessandro Abate , Marta Kwiatkowska , Luca Cardelli

In this paper, we propose an incremental abstraction method for dynamically over-approximating nonlinear systems in a bounded domain by solving a sequence of linear programs, resulting in a sequence of affine upper and lower hyperplanes…

Optimization and Control · Mathematics 2020-04-06 Syed M. Hassaan , Mohammad Khajenejad , Spencer Jensen , Qiang Shen , Sze Zheng Yong

Monotonic abstraction is a technique introduced in model checking parameterized distributed systems in order to cope with transitions containing global conditions within guards. The technique has been re-interpreted in a declarative setting…

Logic in Computer Science · Computer Science 2014-11-17 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2008-11-04 David Monniaux

Abstract interpretation offers a powerful toolset for static analysis, tackling precision, complexity and state-explosion issues. In the literature, state partitioning abstractions based on (bi)simulation and property-preserving state…

Logic in Computer Science · Computer Science 2025-06-09 Paolo Baldan , Roberto Bruni , Francesco Ranzato , Diletta Rigo

Designing controllers to satisfy temporal requirements has proven to be challenging for dynamical systems that are affected by uncertainty. This is mainly due to the states evolving in a continuous uncountable space, the stochastic…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Birgit C. van Huijgevoort , Ruohan Wang , Sadegh Soudjani , Sofie Haesaert

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

Abstracting from a low level to a more explanatory high level of description, and ideally while preserving causal structure, is fundamental to scientific practice, to causal inference problems, and to robust, efficient and interpretable AI.…

Logic in Computer Science · Computer Science 2026-02-19 Robin Lorenz , Sean Tull

The essential step of abstraction-based control synthesis for nonlinear systems to satisfy a given specification is to obtain a finite-state abstraction of the original systems. The complexity of the abstraction is usually the dominating…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Yiming Meng , Jun Liu

We propose trace abstraction modulo probability, a proof technique for verifying high-probability accuracy guarantees of probabilistic programs. Our proofs overapproximate the set of program traces using failure automata, finite-state…

Programming Languages · Computer Science 2018-10-31 Calvin Smith , Justin Hsu , Aws Albarghouthi